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Finding the Third Proportional to 65,113.88 and 142,013.25

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Solution

The third proportional to 65,113.88 and 142,013.25 is: 309,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,113.88 : 142,013.25 = 142,013.25 : x
  2. Step 2: Convert to fraction form
    65,113.88/142,013.25 = 142,013.25/x
  3. Step 3: Cross multiply
    65,113.88x = 142,013.25 × 142,013.25
  4. Step 4: Simplify right side
    65,113.88x = 20,167,763,175.56
  5. Step 5: Solve for x
    x = 20,167,763,175.56/65,113.88
  6. Step 6: Final answer
    x = 309,730.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.